Precise Values for Critical Fields in Quantum Electrodynamics

Gerhard Soff, Berndt Müller, Johann Rafelski

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

A careful investigation of different corrections to binding energies of electrons in almost critical fields is performed. We investigate quantitatively the influence of the nuclear charge parameters, nuclear mass, degree of ionization on the value of the critical charge of the nucleus. Rather qualitative arguments are given to establish the contribution of the quantumelectrodynamic corrections, which are found to be small. Some phenomenological modifications of QED are quantitatively investigated and found to be of negligible influence on the value of the critical field. For heavy ion collisions with Z1+Z2> Zer the critical separations between ions are given as results of precise solutions of the relativistic two coulomb center problem. Corrections due to electron-electron interaction are considered. We find (with present theoretical accuracy) ZCr = 173±2, in the heavy ion collisions Rer(U — U) = 34.7 ± 2 fm and RCT(U—C f) — 47.7 ± 2 fm. We shortly consider the possibility of spontaneous muon production in muonic supercritical fields.

Original languageEnglish (US)
Pages (from-to)1267-1275
Number of pages9
JournalZeitschrift fur Naturforschung - Section A Journal of Physical Sciences
Volume29
Issue number9
DOIs
StatePublished - Sep 1 1974
Externally publishedYes

Fingerprint

Heavy Ions
Electrodynamics
quantum electrodynamics
Heavy-ion Collisions
Electron
Electron-electron interactions
ionic collisions
Binding energy
Charge
Ionization
Randomized Controlled Trial
Center Problem
Binding Energy
Ions
Nucleus
Electrons
muons
electron scattering
electrons
binding energy

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry
  • Mathematical Physics
  • Physics and Astronomy(all)

Cite this

Precise Values for Critical Fields in Quantum Electrodynamics. / Soff, Gerhard; Müller, Berndt; Rafelski, Johann.

In: Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences, Vol. 29, No. 9, 01.09.1974, p. 1267-1275.

Research output: Contribution to journalArticle

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